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Finding the Fourth Proportional to 1,337.45, 1,846.53 and 865.55

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Solution

The fourth proportional to 1,337.45, 1,846.53 and 865.55 is: 1,195.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,337.45 : 1,846.53 = 865.55 : x
  2. Step 2: Convert to fraction form
    1,337.45/1,846.53 = 865.55/x
  3. Step 3: Cross multiply
    1,337.45x = 1,846.53 × 865.55
  4. Step 4: Simplify right side
    1,337.45x = 1,598,268.66
  5. Step 5: Solve for x
    x = 1,598,268.66/1,337.45
  6. Step 6: Final answer
    x = 1,195.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.